If we want M^n to be an integer n>0 -> If n is negative we'll get a fraction in all cases.

1) N^m > 0 --> 2 scenarios: a) n<0 , m=2 --> n^m >0 b) n>0, m=don't matter - this expression will always be positive, HENCE not sufficient

2) n^m is an integer --> this means that m>0, otherway we'll get a fraction here. We can repeat the steps from 1) --> so, not sufficient.

Update

Variant 2

Let's pick just some smart numbers...

(1) n^m is positive

-\(1^2=2\), 2^(-1)=1/2 No, \(2^3=8, 3^2=9\) Yes --> Not Sufficient

(2) n^m is an integer.

Use same examples as abobe. Not Sufficient

1 +2)Using same examples gives us the answer (E). Both statements actually don't give us any new valuable information when combined

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